20 citations · 21 across the 17 of their papers we have counts for
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Invariant domain preservation for hybrid point-value and cell-average discretizations of hyperbolic equations on general meshes
Shengrong Ding, Shumo Cui, Remi Abgrall +1
This paper presents a unified invariant-domain-preserving (IDP) framework for hybrid discretizations of hyperbolic conservation laws, including active flux and PAMPA methods, in wh…
High-order fully discrete multi-entropy-stable and bound-preserving schemes for relativistic Euler equations
Linfeng Xu, Kailiang Wu
A discrete entropy inequality is the principal nonlinear stability estimate available for systems of conservation laws, and evaluating it presupposes a physically admissible state.…
GQL-Based Physical-Constraint-Preserving High-Order Finite Difference Schemes for Special Relativistic Hydrodynamics in Arbitrary Dimensions
Linfeng Xu, Shengrong Ding, Kailiang Wu
High-order accurate simulations of special relativistic hydrodynamics (RHD) are prone to numerical breakdown if intrinsic physical constraints (positive rest-mass density/pressure…
EPO: A Unified Framework for Entropy Stability, Positivity, and Oscillation Suppression
Kailiang Wu
High-order finite volume and discontinuous Galerkin methods are often stabilized by separate nonlinear devices for admissibility, entropy control, and oscillation suppression. This…